What is the generic name for “decimal” type fractions?

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A number in the form:

1.234

is often loosely called decimal, though the name really refers to the fact that its base is 10, and has nothing to do with the faction part.

A binary number in the form:

1.0101

follows the same principal, but, obviously it can’t be called a decimal. The same would apply to numbers of any other base.

Is there a proper generic name for fractions expressed using this notation?

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$1.234$ is a decimal fraction, in the sense that it's $\dfrac{1234}{10^3}$.

So, $1.0101_2$ is a binary fraction, in the sense that it's $\dfrac{10101_2}{2^4}$.